A Mixed Integer Quadratic Programming Model for the Low Autocorrelation Binary Sequence Problem

Kratica, Jozef

Serdica Journal of Computing (2012)

  • Volume: 6, Issue: 4, page 385-400
  • ISSN: 1312-6555

Abstract

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In this paper the low autocorrelation binary sequence problem (LABSP) is modeled as a mixed integer quadratic programming (MIQP) problem and proof of the model’s validity is given. Since the MIQP model is semidefinite, general optimization solvers can be used, and converge in a finite number of iterations. The experimental results show that IQP solvers, based on this MIQP formulation, are capable of optimally solving general/skew-symmetric LABSP instances of up to 30/51 elements in a moderate time. ACM Computing Classification System (1998): G.1.6, I.2.8.This research was partially supported by the Serbian Ministry of Education and Science under projects 174010 and 174033.

How to cite

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Kratica, Jozef. "A Mixed Integer Quadratic Programming Model for the Low Autocorrelation Binary Sequence Problem." Serdica Journal of Computing 6.4 (2012): 385-400. <http://eudml.org/doc/250923>.

@article{Kratica2012,
abstract = {In this paper the low autocorrelation binary sequence problem (LABSP) is modeled as a mixed integer quadratic programming (MIQP) problem and proof of the model’s validity is given. Since the MIQP model is semidefinite, general optimization solvers can be used, and converge in a finite number of iterations. The experimental results show that IQP solvers, based on this MIQP formulation, are capable of optimally solving general/skew-symmetric LABSP instances of up to 30/51 elements in a moderate time. ACM Computing Classification System (1998): G.1.6, I.2.8.This research was partially supported by the Serbian Ministry of Education and Science under projects 174010 and 174033.},
author = {Kratica, Jozef},
journal = {Serdica Journal of Computing},
keywords = {Integer Programming; Quadratic Programming; Low Autocorrelation Binary Sequence Problem; integer programming; quadratic programming; low autocorrelation binary sequence problem},
language = {eng},
number = {4},
pages = {385-400},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Mixed Integer Quadratic Programming Model for the Low Autocorrelation Binary Sequence Problem},
url = {http://eudml.org/doc/250923},
volume = {6},
year = {2012},
}

TY - JOUR
AU - Kratica, Jozef
TI - A Mixed Integer Quadratic Programming Model for the Low Autocorrelation Binary Sequence Problem
JO - Serdica Journal of Computing
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 6
IS - 4
SP - 385
EP - 400
AB - In this paper the low autocorrelation binary sequence problem (LABSP) is modeled as a mixed integer quadratic programming (MIQP) problem and proof of the model’s validity is given. Since the MIQP model is semidefinite, general optimization solvers can be used, and converge in a finite number of iterations. The experimental results show that IQP solvers, based on this MIQP formulation, are capable of optimally solving general/skew-symmetric LABSP instances of up to 30/51 elements in a moderate time. ACM Computing Classification System (1998): G.1.6, I.2.8.This research was partially supported by the Serbian Ministry of Education and Science under projects 174010 and 174033.
LA - eng
KW - Integer Programming; Quadratic Programming; Low Autocorrelation Binary Sequence Problem; integer programming; quadratic programming; low autocorrelation binary sequence problem
UR - http://eudml.org/doc/250923
ER -

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